English

Regret Guarantees for Item-Item Collaborative Filtering

Machine Learning 2016-01-11 v2 Information Retrieval Information Theory math.IT Machine Learning

Abstract

There is much empirical evidence that item-item collaborative filtering works well in practice. Motivated to understand this, we provide a framework to design and analyze various recommendation algorithms. The setup amounts to online binary matrix completion, where at each time a random user requests a recommendation and the algorithm chooses an entry to reveal in the user's row. The goal is to minimize regret, or equivalently to maximize the number of +1 entries revealed at any time. We analyze an item-item collaborative filtering algorithm that can achieve fundamentally better performance compared to user-user collaborative filtering. The algorithm achieves good "cold-start" performance (appropriately defined) by quickly making good recommendations to new users about whom there is little information.

Keywords

Cite

@article{arxiv.1507.05371,
  title  = {Regret Guarantees for Item-Item Collaborative Filtering},
  author = {Guy Bresler and Devavrat Shah and Luis F. Voloch},
  journal= {arXiv preprint arXiv:1507.05371},
  year   = {2016}
}
R2 v1 2026-06-22T10:14:46.490Z